Home
Class 11
MATHS
Statement -I : Period of [x] where ...

Statement -I : Period of [x] where [.] represents the integral part of x is 1,
Statement -II : Period of x-[x] where [.]
represents the integral part x is 1.
Statement -III : A real function f : A `to ` B is such that `f(a+x) = f(x ) AA` a E R then F is called periodic function .Which of the above state ments is correct.

A

I and II only

B

II and III only

C

III and I only

D

All

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise EXERCISE-II|25 Videos
  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 Videos
  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

Similar Questions

Explore conceptually related problems

The period of x-[x] where [x] represents the intergral part of x is

The period of x-[x] , where [x] represents the integral part of x , is equal to

The period of f(x) = sin x + [x] , where [x] is fractional part of x is

Number of solutions of |cosx|=2[x] is (Where [x] is integral part of x)

Statement 1 : The period of the function f(x)=sin {x} is 1, where {.} represents fractional part function. Statement 2 : g(x)={x} has period 1.

Let f(x ) =cos sqrt(p) x. where p = [a] (integral part ). If the period of f(x ) is pi then a E

If f(x)=|x|-{x} where {x} denotes the fractional part of x , then f(x) is dreasing in

Statement-I underset(x to 0)(Lt)(sqrt((1 -cos 2x)/(2)))/(x) does not exist . Statement-II : f(x) = |x| is continuous on R Which of the above statement is correct